For our sensitivity injection set, we simulate \(\mathcal {O}(5 \times 10^7)\)  sources and inject them into Gaussian noise corresponding to O3 detector sensitivity [1]}, [2]}, resulting in \(\sim 900,000\)  injections passing our detection threshold of network optimal SNR greater than 10. We choose this threshold to be a surrogate for the 1 year\(^{-1}\)  FAR threshold used for event selection. While this is not an exact mapping between the two detection statistics, the effects of spins on sensitivity is subdominant, so we expect that this approximation will not cause biases.
